Q: What are the factor combinations of the number 27,422,923?

 A:
Positive:   1 x 2742292311 x 249299323 x 1192301107 x 256289253 x 1083911013 x 270711177 x 232992461 x 11143
Negative: -1 x -27422923-11 x -2492993-23 x -1192301-107 x -256289-253 x -108391-1013 x -27071-1177 x -23299-2461 x -11143


How do I find the factor combinations of the number 27,422,923?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 27,422,923, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 27,422,923
-1 -27,422,923

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,422,923.

Example:
1 x 27,422,923 = 27,422,923
and
-1 x -27,422,923 = 27,422,923
Notice both answers equal 27,422,923

With that explanation out of the way, let's continue. Next, we take the number 27,422,923 and divide it by 2:

27,422,923 ÷ 2 = 13,711,461.5

If the quotient is a whole number, then 2 and 13,711,461.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 27,422,923
-1 -27,422,923

Now, we try dividing 27,422,923 by 3:

27,422,923 ÷ 3 = 9,140,974.3333

If the quotient is a whole number, then 3 and 9,140,974.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 27,422,923
-1 -27,422,923

Let's try dividing by 4:

27,422,923 ÷ 4 = 6,855,730.75

If the quotient is a whole number, then 4 and 6,855,730.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 27,422,923
-1 27,422,923
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

111231072531,0131,1772,46111,14323,29927,071108,391256,2891,192,3012,492,99327,422,923
-1-11-23-107-253-1,013-1,177-2,461-11,143-23,299-27,071-108,391-256,289-1,192,301-2,492,993-27,422,923

More Examples

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